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Mixed Strategy Equilibrium

Abstract

A mixed strategy is a probability distribution one uses to randomly choose among available actions in order to avoid being predictable. In a mixed strategy equilibrium each player in a game is using a mixed strategy, one that is best for him against the strategies the other players are using. In laboratory experiments the behaviour of inexperienced subjects has generally been inconsistent with the theory in important respects; data obtained from contests in professional sports conforms much more closely with the theory.

Keywords

  • Competition
  • Equilibrium
  • Game theory
  • Minimax strategy
  • Mixed strategy equilibrium
  • Price dispersion
  • Pure strategy
  • Quantal response equilibrium
  • Reinforcement learning

JEL Classifications

  • C9

This chapter was originally published in The New Palgrave Dictionary of Economics, 2nd edition, 2008. Edited by Steven N. Durlauf and Lawrence E. Blume

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Bibliography

  • Brown, J., and R. Rosenthal. 1990. Testing the minimax hypothesis: A re-examination of O’Neill’s game experiment. Econometrica 58: 1065–1081.

    CrossRef  Google Scholar 

  • Erev, I., and A.E. Roth. 1998. Predicting how people play games: Reinforcement learning in experimental games with unique, mixed strategy equilibria. American Economic Review 88: 848–881.

    Google Scholar 

  • McKelvey, R., and T. Palfrey. 1995. Quantal response equilibria for normal-form games. Games and Economic Behavior 10: 6–38.

    CrossRef  Google Scholar 

  • Nash, J.F. 1950. Equilibrium points in N person games. Proceedings of the National Academy of Sciences 36: 48–49.

    CrossRef  Google Scholar 

  • O’Neill, B. 1987. Nonmetric test of the minimax theory of two-person zerosum games. Proceedings of the National Academy of Sciences 84: 2106–2109.

    CrossRef  Google Scholar 

  • Stahl, D., and P. Wilson. 1994. Experimental evidence on players’ models of other players. Journal of Economic Behavior & Organization 25: 309–327.

    CrossRef  Google Scholar 

  • von Neumann, J. 1928. Zur Theorie der Gesellschaftsspiele. Mathematische Annalen 100: 295–320.

    CrossRef  Google Scholar 

  • Walker, M., and J. Wooders. 2001. Minimax play at Wimbledon. American Economic Review 91: 1521–1538.

    CrossRef  Google Scholar 

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Walker, M., Wooders, J. (2008). Mixed Strategy Equilibrium. In: The New Palgrave Dictionary of Economics. Palgrave Macmillan, London. https://doi.org/10.1057/978-1-349-95121-5_2277-1

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  • DOI: https://doi.org/10.1057/978-1-349-95121-5_2277-1

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  • Online ISBN: 978-1-349-95121-5

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